Solve for x 7(3x+5)=11-(x+9)

$7 (3 x + 5) = 11 - (x + 9)$

Step 1

Simplify $7 (3 x + 5)$ .

Rewrite.

$0 + 0 + 7 (3 x + 5) = 11 - (x + 9)$

Simplify by adding zeros.

$7 (3 x + 5) = 11 - (x + 9)$

Apply the distributive property.

$7 (3 x) + 7 \cdot 5 = 11 - (x + 9)$

Multiply.

Multiply $3$ by $7$ .

$21 x + 7 \cdot 5 = 11 - (x + 9)$

Multiply $7$ by $5$ .

$21 x + 35 = 11 - (x + 9)$

Step 2

Simplify $11 - (x + 9)$ .

Simplify each term.

Apply the distributive property.

$21 x + 35 = 11 - x - 1 \cdot 9$

Multiply $- 1$ by $9$ .

$21 x + 35 = 11 - x - 9$

Subtract $9$ from $11$ .

$21 x + 35 = - x + 2$

Step 3

Move all terms containing $x$ to the left side of the equation.

Add $x$ to both sides of the equation.

$21 x + 35 + x = 2$

Add $21 x$ and $x$ .

$22 x + 35 = 2$

Step 4

Move all terms not containing $x$ to the right side of the equation.

Subtract $35$ from both sides of the equation.

$22 x = 2 - 35$

Subtract $35$ from $2$ .

$22 x = - 33$

Step 5

Divide each term in $22 x = - 33$ by $22$ and simplify.

Divide each term in $22 x = - 33$ by $22$ .

$\frac{22 x}{22} = \frac{- 33}{22}$

Simplify the left side.

Cancel the common factor of $22$ .

Cancel the common factor.

$\frac{22 x}{22} = \frac{- 33}{22}$

Divide $x$ by $1$ .

$x = \frac{- 33}{22}$

Simplify the right side.

Cancel the common factor of $- 33$ and $22$ .

Factor $11$ out of $- 33$ .

$x = \frac{11 (- 3)}{22}$

Cancel the common factors.

Factor $11$ out of $22$ .

$x = \frac{11 \cdot - 3}{11 \cdot 2}$

Cancel the common factor.

$x = \frac{11 \cdot - 3}{11 \cdot 2}$

Rewrite the expression.

$x = \frac{- 3}{2}$

Move the negative in front of the fraction.

$x = - \frac{3}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{3}{2}$

Decimal Form:

$x = - 1.5$

Mixed Number Form:

$x = - 1 \frac{1}{2}$

Solve for x 7(3x+5)=11-(x+9)

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